# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0481 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0481?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 240r, page id 00067993:0481 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 241v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=481 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000481.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 76 lines, status machine # Lines: 76 recognised, mean confidence 0.76 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. dradem idi mode ne Endumam tam ut invenieamus AE menfestum est Tlum EDH- DKC on SerABn in .3 ec diferculiaue duarium X proximarum. smipliciter; vel situs est. . ducta, (udl. per a. divisa intelligantur Seris R. y Y ea ad eadem com seriebus l. et s1. Tabulae praecedentis Ser. 11. X Ser. 11I. ADDAA. summa Rectang AAd, seu sinuum versorum X B= A A, = 1. Torum. per 2a. diviso er Seres V. ASdCA = ABOR. seguenta per a. divita desictuum mctis te mu eriei tertia . Fateor autem lubens hoc tractandi fractiones, et ad mechanicas quadraturas adaptandi inventum mignam= quoniasu β. est infinite parva, mideo infincto seriem quintum vel alterutrius Tabulae in infinitum continu. LBUL. HL 1 madua taci smmu d pandum D ia. ds a tfrataris solo sume tntulae cuidam inclu– intao mpe 2D atiaa m ara ir bA arra a +5aBZ 2 rudanu duno 3000,000.ut i 100 01 10 0 3, 00 2 a4 13a(5136β 24500, 000 1000, 013 000, 036: a2 + HaB + 40q HoS, DES OCS II roo eacon, too (m. velnt res pumeris imste a sice i foigurae Rese. ctarum, sive terminorum seriet tertiae, monpratori– sumtis insulae inclusis Sib primae dustisu sympra. Aad er. 1V Adoaom a +5aβ3 + 4( 1243 4+98a 37 X108β arttae et aga 2aab 1(. 1. et Sed et serieequarta carerit vcd H figurae Resecta Cum autem et Ex des q. ra ad proporitum aliquod segmentum ACFA, vel aequalem es ouplicato poitionem pbuita et hodis calculus posterioris Tabulae nonnihito brevra videtur. Interimi sciendum est aeu in Tabula ioeotermi audas, si ad segmentum aliquod assignabile pervenire velimus. Quemadmadum summa quoque Tabulae horuai cuusque serieiscondite ideo habemus aream segmenti alicujus datia ifi reg. AC FA infinita oerie merorum rationalium expressam ABW habetua Quoniam infinita scilicetos epie ipsarum X, cujus summa complemento segine inatur, adiicianturque seque tc sectotes, sed non ideo i duplicali, vel portionis AVC HA i aequalis ad rectangulum aequatur. Terminir autem seriei omnium Z tot sunt, quot unitates in AA, DD in segment dati lri Resecta AP, AF I esse intelliguntur ideo si unneromnium (B sit sinitus, in in toto diumt Radio AT =AW. sit lulatur Resectae quantitas seu Numerus omnium Be itae odie stamut iarait a pure a ae ti e paerte te eeta vi us u puriatit ue toria utas